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Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
SHARP REGULARITY ESTIMATES FOR SOLUTIONS OF THE CONTINUITY EQUATION DRIFTED BY SOBOLEV VECTOR FIELDS 期刊论文
ANALYSIS & PDE, 2021, 卷号: 14, 期号: 8, 页码: 2539-2559
作者:  Brue, Elia;  Quoc-Hung Nguyen
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
ordinary differential equations with nonsmooth vector fields  continuity equation  transport equation  regular Lagrangian flow  BV function  log-Sobolev space  Bressan's mixing conjecture  
Descent of Ordinary Differential Equations with Rational General Solutions 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 10
作者:  Feng, Shuang;  Feng, Ruyong
收藏  |  浏览/下载：135/0  |  提交时间：2021/01/14
Algebraic ordinary differential equation  differential descent  rational general solution  
Parameter Estimation and Variable Selection for Big Systems of Linear Ordinary Differential Equations: A Matrix-Based Approach 期刊论文
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2019, 卷号: 114, 期号: 526, 页码: 657-667
作者:  Wu, Leqin;  Qiu, Xing;  Yuan, Ya-xiang;  Wu, Hulin
收藏  |  浏览/下载：185/0  |  提交时间：2020/01/10
Complex system  Eigenvalue updating algorithm  High dimension  Matrix-based variable selection  Ordinary differential equation  Separable least squares  
Comparative study on order-reduced methods for linear third-order ordinary differential equations 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2012, 卷号: 7, 期号: 6, 页码: 1151-1168
作者:  Ren Zhiru
收藏  |  浏览/下载：97/0  |  提交时间：2021/01/14
PRECONDITIONED ITERATIVE METHODS  SYSTEMS  FLOWS  third-order ordinary differential equation  order-reduced method  sinc discretization  preconditioner  Krylov subspace method  
On sinc discretization and banded preconditioning for linear third-order ordinary differential equations 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 卷号: 18, 期号: 3, 页码: 471-497
作者:  Bai, Zhong-Zhi;  Chan, Raymond H.;  Ren, Zhi-Ru
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
third-order ordinary differential equation  sinc-collocation discretization  sinc-Galerkin discretization  convergence analysis  banded preconditioning  Krylov subspace methods  
Upper and lower solution method for fourth-order four-point boundary value problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 卷号: 196, 期号: 2, 页码: 387-393
作者:  Zhang, Qin;  Chen, Shihua;  Lu, Jinhu
收藏  |  浏览/下载：75/0  |  提交时间：2018/07/30
lower and upper solution method  fourth-order ordinary differential equation  four-point boundary conditions  
On factorizable solution of the differential equation (f ')(2)=a(0)(z)(f-a(1)(z))(2)f 期刊论文
CHINESE SCIENCE BULLETIN, 1997, 卷号: 42, 期号: 21, 页码: 1779-1782
作者:  Yuan, WJ;  He, YZ
收藏  |  浏览/下载：81/0  |  提交时间：2018/07/30
factorization  growth order  meromorphic function  ordinary differential equation